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Beliebt Algebra >

(x^2+x-6)^2-(x^2+2x+1)^2=0

Lösung

(x^{2} + x - 6)^{2} - (x^{2} + 2 x + 1)^{2} = 0

Lösung

x = 1, x = - \frac{5}{2}, x = - 7

+1

Dezimale

x = 1, x = - 2.5, x = - 7

Schritte zur Lösung

(x^{2} + x - 6)^{2} - (x^{2} + 2 x + 1)^{2} = 0

Faktorisiere

(x^{2} + x - 6)^{2} - (x^{2} + 2 x + 1)^{2} : (x - 1) (2 x + 5) (- x - 7)

(x - 1) (2 x + 5) (- x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or 2 x + 5 = 0 or - x - 7 = 0

Löse

x - 1 = 0 : x = 1

Löse

2 x + 5 = 0 : x = - \frac{5}{2}

Löse

- x - 7 = 0 : x = - 7

Die Lösungen sind

x = 1, x = - \frac{5}{2}, x = - 7

Graph

Beliebte Beispiele

x(x-1)^3(x-2)^5=0

x (x - 1)^{3} (x - 2)^{5} = 0

(x-15)^5-(x-15)^3=0

(x - 15)^{5} - (x - 15)^{3} = 0

solvefor x,x^{2021}+y=4y-3

so l v e f or x, x^{2021} + y = 4 y - 3

- 9 x^{4} + 16 x^{2} = 0

(a^{100})/(17)=13

\frac{a ^{100}}{17} = 13